Fourier decay of fractal measures on hyperboloids (Q5143152)

scientific article; zbMATH DE number 7291891

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English	Fourier decay of fractal measures on hyperboloids	scientific article; zbMATH DE number 7291891

Statements

instance of

scholarly article

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title

Fourier decay of fractal measures on hyperboloids (English)

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Transactions of the American Mathematical Society

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publication date

11 January 2021

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full work available at URL

https://arxiv.org/abs/2004.06553

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zbMATH Keywords

surface measures

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Fourier restriction problem

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MaRDI profile type

MaRDI publication profile

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cites work

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Some special solutions of the Schr\"odinger equation

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Hausdorff dimension and distance sets

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Decouplings for curves and hypersurfaces with nonzero Gaussian curvature

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Fractal Strichartz estimate for the wave equation

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Averaged decay estimates for Fourier transforms of measures over curves with nonvanishing torsion

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Fourier Restriction, Decoupling, and Applications

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Upper bounds for Fourier decay rates of fractal measures

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A sharp Schrödinger maximal estimate in $\mathbb{R}^2$

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POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES

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Weighted restriction estimates and application to Falconer distance set problem

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Sharp $L^2$ estimates of the Schrödinger maximal function in higher dimensions

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A note on the Fourier transform of fractal measures

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Q5694422

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Restricting Fourier Transforms of Measures to Curves in ℝ<sup>2</sup>

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On the Hausdorff dimensions of distance sets

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Dispersive estimates for Schroedinger operators with measure-valued potentials in R^3

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Restriction estimates using polynomial partitioning. II

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Sharp estimates for oscillatory integral operators via polynomial partitioning

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On Falconer's distance set problem in the plane

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Restriction estimates for space curves with respect to general measures

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Improved decay of conical averages of the Fourier transform

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Circular averages and Falconer/Erdös distance conjecture in the plane for random metrics

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Q3377511

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Bilinear restriction estimates for surfaces with curvatures of different signs

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An $L^2$-identity and pinned distance problem

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Hausdorff dimension of pinned distance sets and the 𝐿²-method

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Average decay of the Fourier transform of measures with applications

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Spherical averages of Fourier transforms of measures with finite energy; dimensions of intersections and distance sets

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Hausdorff dimension, projections, and the Fourier transform

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Packing spheres and fractal Strichartz estimates in $\mathbb {R}^d$ for $d\geq 3$

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Application of a Fourier restriction theorem to certain families of projections in $\mathbb R^3$

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Pointwise convergence of solutions to the nonelliptic Schr\"odinger equation

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Estimates of spherial averages of Fourier transforms and dimensions of sets

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Q4888843

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Restriction theorems for a surface with negative curvature

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Q4261672

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Local smoothing type estimates on $L^p$ for large $p$

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Identifiers

zbMATH Open document ID

1455.42023

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DOI

10.1090/tran/8283

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5143152